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I'd like to subscribe to this newsletter. Mathematicians using sets to argue about the size of uncountably infinite Reals feels like the old joke of philosophe
by reggieband 5y ago
I'd like to subscribe to this newsletter.
Mathematicians using sets to argue about the size of uncountably infinite Reals feels like the old joke of philosophers arguing over how many angels can fit on the head of a pin. I often wonder if we've used set theory (and formalisms of math based on logic) to substitute one metaphysical theory for another equivalent one.
I can understand the frustration of mathematicians of the past being told they have to ensure their theories align with some spiritual mythology. But it sort of feels like I'm being forced to accept some kind of metaphysical truth in the name of ensuring the calculus of infinitesimals is grounded in logic.